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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Occupancy Estimation and Modeling

      • 2nd Edition
      • November 13, 2017
      • Darryl I. MacKenzie + 5 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 4 6 9 1 0
      • eBook
        9 7 8 0 1 2 4 0 7 2 4 5 9
      Occupancy Estimation and Modeling: Inferring Patterns and Dynamics of Species Occurrence, Second Edition, provides a synthesis of model-based approaches for analyzing presence-absence data, allowing for imperfect detection. Beginning from the relatively simple case of estimating the proportion of area or sampling units occupied at the time of surveying, the authors describe a wide variety of extensions that have been developed since the early 2000s. This provides an improved insight about species and community ecology, including, detection heterogeneity; correlated detections; spatial autocorrelation; multiple states or classes of occupancy; changes in occupancy over time; species co-occurrence; community-level modeling, and more. Occupancy Estimation and Modeling: Inferring Patterns and Dynamics of Species Occurrence, Second Edition has been greatly expanded and detail is provided regarding the estimation methods and examples of their application are given. Important study design recommendations are also covered to give a well rounded view of modeling.

    • Introduction to Nature-Inspired Optimization

      • 1st Edition
      • August 10, 2017
      • George Lindfield + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 3 6 3 6 5
      • eBook
        9 7 8 0 1 2 8 0 3 6 6 6 2
      Introduction to Nature-Inspired Optimization brings together many of the innovative mathematical methods for non-linear optimization that have their origins in the way various species behave in order to optimize their chances of survival. The book describes each method, examines their strengths and weaknesses, and where appropriate, provides the MATLAB code to give practical insight into the detailed structure of these methods and how they work. Nature-inspired algorithms emulate processes that are found in the natural world, spurring interest for optimization. Lindfield/Penny provide concise coverage to all the major algorithms, including genetic algorithms, artificial bee colony algorithms, ant colony optimization and the cuckoo search algorithm, among others. This book provides a quick reference to practicing engineers, researchers and graduate students who work in the field of optimization.

    • Mathematical Optimization Terminology

      • 1st Edition
      • November 10, 2017
      • Andre A. Keller
      • English
      • Paperback
        9 7 8 0 1 2 8 0 5 1 6 6 5
      • eBook
        9 7 8 0 1 2 8 0 5 2 9 5 2
      Mathematical Optimization Terminology: A Comprehensive Glossary of Terms is a practical book with the essential formulations, illustrative examples, real-world applications and main references on the topic. This book helps readers gain a more practical understanding of optimization, enabling them to apply it to their algorithms. This book also addresses the need for a practical publication that introduces these concepts and techniques.

    • Introductory Statistics

      • 4th Edition
      • January 26, 2017
      • Sheldon M. Ross
      • English
      • Hardback
        9 7 8 0 1 2 8 0 4 3 1 7 2
      • eBook
        9 7 8 0 1 2 8 0 4 3 6 1 5
      Introductory Statistics, Fourth Edition, reviews statistical concepts and techniques in a manner that will teach students not only how and when to utilize the statistical procedures developed, but also how to understand why these procedures should be used. The text's main merits are the clarity of presentation, contemporary examples and applications from diverse areas, an explanation of intuition, and the ideas behind the statistical methods. Concepts are motivated, illustrated, and explained in a way that attempts to increase one's intuition. To quote from the preface, it is only when a student develops a feel or intuition for statistics that she or he is really on the path toward making sense of data. Ross achieves this goal through a coherent mix of mathematical analysis, intuitive discussions, and examples. Applications and examples refer to real-world issues, such as gun control, stock price models, health issues, driving age limits, school admission ages, use of helmets, sports, scientific fraud, and many others. Examples relating to data mining techniques using the number of Google queries or Twitter tweets are also considered. For this fourth edition, new topical coverage includes sections on Pareto distribution and the 80-20 rule, Benford's law, added material on odds and joint distributions and correlation, logistic regression, A-B testing, and more modern (big data) examples and exercises.

    • The Partition Method for a Power Series Expansion

      • 1st Edition
      • January 19, 2017
      • Victor Kowalenko
      • English
      • Hardback
        9 7 8 0 1 2 8 0 4 4 6 6 7
      • eBook
        9 7 8 0 1 2 8 0 4 5 1 1 4
      The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics. In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established. Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics.

    • Optimal Sports Math, Statistics, and Fantasy

      • 1st Edition
      • April 6, 2017
      • Robert Kissell + 1 more
      • English
      • Hardback
        9 7 8 0 1 2 8 0 5 1 6 3 4
      • eBook
        9 7 8 0 1 2 8 0 5 2 9 3 8
      Optimal Sports Math, Statistics, and Fantasy provides the sports community—students, professionals, and casual sports fans—with the essential mathematics and statistics required to objectively analyze sports teams, evaluate player performance, and predict game outcomes. These techniques can also be applied to fantasy sports competitions. Readers will learn how to: Accurately rank sports teams Compute winning probability Calculate expected victory margin Determine the set of factors that are most predictive of team and player performance Optimal Sports Math, Statistics, and Fantasy also illustrates modeling techniques that can be used to decode and demystify the mysterious computer ranking schemes that are often employed by post-season tournament selection committees in college and professional sports. These methods offer readers a verifiable and unbiased approach to evaluate and rank teams, and the proper statistical procedures to test and evaluate the accuracy of different models. Optimal Sports Math, Statistics, and Fantasy delivers a proven best-in-class quantitative modeling framework with numerous applications throughout the sports world.

    • Means in Mathematical Analysis

      • 1st Edition
      • September 14, 2017
      • Gheorghe Toader + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 1 0 8 0 5
      • eBook
        9 7 8 0 1 2 8 1 1 0 8 1 2
      Means in Mathematical Analysis addresses developments in global analysis, non-linear analysis, and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations and probability theory. The series comprises highly specialized research monographs written by eminent scientists, handbooks and selected multi-contributor reference works (edited volumes), bringing together an extensive body of information. It deals with the fundamental interplay of nonlinear analysis with other headline domains, particularly geometry and analytic number theory, within the mathematical sciences.

    • Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

      • 1st Edition
      • September 19, 2017
      • Abdon Atangana
      • English
      • Paperback
        9 7 8 0 1 2 8 0 9 6 7 0 3
      • eBook
        9 7 8 0 1 2 8 0 9 7 9 6 0
      Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional operators, fractional variable order operators, and uncertain derivatives to groundwater flow and environmental remediation. It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed. Based on the author’s analyses, the book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution.

    • Modeling and Analysis of Modern Fluid Problems

      • 1st Edition
      • April 26, 2017
      • Liancun Zheng + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 1 7 5 3 8
      • eBook
        9 7 8 0 1 2 8 1 1 7 5 9 0
      Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth.

    • Statistical Inference in Financial and Insurance Mathematics with R

      • 1st Edition
      • November 22, 2017
      • Alexandre Brouste
      • English
      • Hardback
        9 7 8 1 7 8 5 4 8 0 8 3 6
      • eBook
        9 7 8 0 0 8 1 0 1 2 6 1 1
      Finance and insurance companies are facing a wide range of parametric statistical problems. Statistical experiments generated by a sample of independent and identically distributed random variables are frequent and well understood, especially those consisting of probability measures of an exponential type. However, the aforementioned applications also offer non-classical experiments implying observation samples of independent but not identically distributed random variables or even dependent random variables. Three examples of such experiments are treated in this book. First, the Generalized Linear Models are studied. They extend the standard regression model to non-Gaussian distributions. Statistical experiments with Markov chains are considered next. Finally, various statistical experiments generated by fractional Gaussian noise are also described. In this book, asymptotic properties of several sequences of estimators are detailed. The notion of asymptotical efficiency is discussed for the different statistical experiments considered in order to give the proper sense of estimation risk. Eighty examples and computations with R software are given throughout the text.

Related subjects

Mathematics and applied mathematics

Statistics and probability